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natka813 [3]
3 years ago
10

Please help and show the steps thank you!!

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

The answer to your question is  h (g(n)) = 3n² - 12n + 1

Step-by-step explanation:

                           h(n) = 3n + 1

                          g(n) = n² - 4n

Find (hg)(n)

                    h(g(n)) = 3( n² - 4n) + 1          substitution

                   h (g(n)) = 3n² - 12n + 1           expand

                 

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3. To buy a car, Jessica borrowed $15,000 for 3
elena55 [62]
A)15000 x (9 : 100) x 3 = 4050
B) 15000 + 4050 = 19050

I hope it is correct ❤️
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2 years ago
How many angles are in an pentagon
blondinia [14]

Answer:

Step-by-step explanation:

pentagon , penta (five in Greek) has 5 sides and 5 interior angles

3 0
2 years ago
Solve the system of equations.<br><br> 5x + y = 9<br> 3x + 2y = 4
tiny-mole [99]
Y=-5x+9

3x+2(-5x+9)=4
3x-10x+18=4
-7x=4-18
-7x=-14
x=2

5(2)+y=9
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The answer is (2,-1) :)
5 0
3 years ago
Read 2 more answers
20 POINTS N BRAINLIEST!!16.Alun has a part-time job working as a bus boy at a
olchik [2.2K]

Answer:

a)E=.05t +34

b)$54

c)$600

Step-by-step explanation:

a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"

he earns an extra $34 a night of work. --> this is the constant

E= --> the total earned that night

E=.05t +34

b) simply plug in the total tip into the equation

E=.05(400) + 34

E=$54

--> he earned $54 that night

c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y

we find t, which is tip the restaurant was given

--> 64 = .05t +34

-34. -34

30= .05t ---> divide by .05 each side

t= $600

the restaurant was tiped 600 dollars and Alun was paid 64 dollars that night of work

hoped this helped:)

3 0
3 years ago
Suppose that x is a binomial random variable with n=5, p=. 3,and q=. 7.1. Write the binomial formula for this situation and list
Radda [10]

Answer:

P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}

Possible values of x: Any from 0 to 5.

P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807

P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015

P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087

P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323

P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835

P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this question:

n = 5, p = 0.3, q = 1 - p = 0.7

So

P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807

P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015

P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087

P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323

P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835

P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243

8 0
3 years ago
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